Answer:
[tex] \huge{ \fbox{ \text{3}}}[/tex]
Step-by-step explanation:
[tex] \sf{A ( \: a \:, b \: )\: \longrightarrow{ \: (x1 \:, y1)}} [/tex]
[tex] \sf{ \: B( - 9 \: 6) \: \longrightarrow{ (x2 \:, y2)}}[/tex]
[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \frac{y1 + y2}{2} )}}[/tex]
[tex] \mapsto{ \sf{( - 3 \:, 5 \: ) \: = \: ( \frac{a + ( - 9)}{2} \:, \frac{b + 6}{2}}}) [/tex]
[tex] \mapsto{ \sf{( - 3 \:, 5) \: = \: ( \: \frac{a - 9}{2} \:, \frac{b + 6}{2} )}}[/tex]
[tex] \sf{ \mapsto{ - 3 = \frac{a - 9}{2} }}[/tex]
Solve for a
[tex] \mapsto{ \sf{ - 6 = a - 9}}[/tex]
[tex] \mapsto{ \sf{a - 9 = - 6}}[/tex]
[tex] \mapsto{ \sf{a = - 6 + 9}}[/tex]
[tex] \mapsto{ \sf{a = 3}}[/tex]
The value of a is 3
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
Answer:
(-6,5.5)
Step-by-step explanation:
(-9,6)-(-3,5)
-9+-3/2 6+5/2
x=-6 y=5.5
